I've been having a similar experience recently, though compounded by it not just being a tip difference but also carbon vs traditional wood shaft.
I think I had a medium tip early on when picking pool back up 15-ish years ago. Maybe a few other mediums here and there but lately it's been all soft tips, especially since making the switch to carbon (Revo).
But last year I got the call for a South West satin that I had requested like 8 years prior when signing up on the SW list. South Wests come with very hard tips, I was surprised how hard it was and it was a drastic difference......but it turns out I really really like it. I feel like I have much more consistent control. I can move the cue ball just fine but I don't have those cases where I want to draw it back 10" and instead draw it back 3' on accident like I've had with my Revo with soft tips.
I took out my SW along with my full Predator setup yesterday but ended up not even getting the Predator out of the case. It felt like I was making more balls with the South West, some shots that I felt pretty iffy on were just going in for me. The one exception, not surprisingly, was any sort of long shot with side spin...those I was definitely off on. But short shots with spin I found surprisingly pretty easy.
I feel like I should probably try a hard tip on a CF shaft at some point to see if that helps with my overdrawing problem there at least. But....also forgot how nice a traditional wood shaft could feel